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    Symmetries of Symmetry Breaking Constraints

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    Symmetry is an important feature of many constraint programs. We show that any symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different symmetries pick out different solutions in each symmetry class. We use these observations in two methods for eliminating symmetry from a problem. These methods are designed to have many of the advantages of symmetry breaking methods that post static symmetry breaking constraint without some of the disadvantages. In particular, the two methods prune the search space using fast and efficient propagation of posted constraints, whilst reducing the conflict between symmetry breaking and branching heuristics. Experimental results show that the two methods perform well on some standard benchmarks.

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    Description

    Title : Symmetries of Symmetry Breaking Constraints
    Author(s) : George Katsirelos, Toby Walsh
    Abstract : Symmetry is an important feature of many constraint programs. We show that any symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different symmetries pick out different solutions in each symmetry class. We use these observations in two methods for eliminating symmetry from a problem. These methods are designed to have many of the advantages of symmetry breaking methods that post static symmetry breaking constraint without some of the disadvantages. In particular, the two methods prune the search space using fast and efficient propagation of posted constraints, whilst reducing the conflict between symmetry breaking and branching heuristics. Experimental results show that the two methods perform well on some standard benchmarks.
    Subject : unspecified
    Area : Other
    Language : English
    Year : 2009

    Affiliations NICTA and UNSW
    Journal : ECAI
    Volume : 8
    Issue : 3
    Url : http://arxiv.org/abs/1005.5270

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    Toby's Peer Evaluation activity

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    Title of the work: HP90: A general & flexible Fortran 90 hp-FE code

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